# One-variable linear inequalities Calculator

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### Difficult Problems

1

Example

$x-7\left(x-2\right)<x-5$
2

Multiply $\left(x+-2\right)$ by $-7$

$x+14-7x<x-5$
3

Adding $-7x$ and $x$

$14-6x<x-5$
4

Grouping terms

$-x+14-6x<-5$
5

Adding $-6x$ and $-1x$

$14-7x<-5$
6

Moving the term $14$ to the other side of the inequation with opposite sign

$-7x<-19$
7

Multiply both sides of the inequality by $-1$, reversing the sign

$7x>19$
8

Divide both sides of the inequation by $7$

$x>\frac{19}{7}$

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